I would only trust Oregon Motor Coach Center. These doors are a unique design that your average RV service center has probably never tackled.
If going to OMCC isn't an option and you consider yourself handy, I'd encourage you to do it yourself. Removing the back panel is the only trick once you have the replacement parts. At the factory they always consider the panel disposable and didn't want to take the time to save it. If you're careful with a putty knife it will be fine. Removing the door from the coach will make it much easier as well so you can work with it on a bench. Thinking again about it, solvent might not be the best option since the outer, painted panel is bonded with the same tape and the solvent could easily migrate to it. Applying localized heat with a heat gun might work well to get the bond to let go. The tape is an industrial version of double sided tape and is about .5" wide all the way around. They designed it with the tape for cost and cosmetic reasons - they were really into not having any visible fasteners which can make service and repair more challenging.
In the event you did damage it you could make another or have a sheetmetal shop make one for you - it's aluminum and I think it's .032" thick. And you don't need to use the adhesive tape to re-bond the panel on - rivets or screws will work since it's an inside panel. You need to check that the heads avoid the bulb seal on the chassis.